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Issue:Implication-based intuitionistic anti-fuzzy subgroup of a finite group

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Title of paper: Implication-based intuitionistic anti-fuzzy subgroup of a finite group
Author(s):
M. Selvarathi
Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India
selvarathi.maths@gmail.com
J. Michael Anna Spinneli
Department of Mathematics, L.R.G. Government Arts College for Women, Tirupur, India
michael.maths@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 60–69
DOI: https://doi.org/10.7546/nifs.2018.24.1.60-69
Download:  PDF (176 Kb  Kb, File info)
Abstract: The concept of implication-based intuitionistic anti-fuzzy subgroup and implication-based intutitionistic anti-fuzzy normal subgroup of a group are introduced using the notion of implication-based anti-fuzzy subgroup. The internal product of implication-based intuitionistic anti-fuzzy subgroups is developed. Few fundamental properties concerning them are proved.
Keywords: Implication-based anti-fuzzy subgroup, Implication-based intuitionistic anti-fuzzy subgroup, Internal product of implication-based intuitionistic anti-fuzzy subgroups.
AMS Classification: 03E72, 08A72, 20N25.
References:
  1. Atanassov, K. T. (1983) Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
  2. Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
  3. Biswas, R. (1990) Fuzzy Subgroups and Anti-Fuzzy Subgroup, Fuzzy Sets and Systems, 35, 121–124.
  4. Rosenfeld, A. (1971) Fuzzy Groups, Journal of Mathematical Analysis and Applications, 35, 512–517.
  5. Selvarathi, M. & Spinneli, M. A. J. (2015) Implication-Based Fuzzy Normal Subgroup of a Finite Group, International Journal of Applied Engineering Research, 10(80), 5–8.
  6. Wee, W. G. & Fu, K. S. (1969) A Formation of Fuzzy Automata and its Application as a Model of Learning Systems, IEEE Transactions on Systems Science and Cybernetics, 3, 215–223.
  7. Xiaoping, L. (2000) The intuitionisitic fuzzy normal subgroup and its equivalent propositions, BUSEFAL, 82, 40–44.
  8. Xiaoping, L., & Guijun, W. (2000) The intuitionistic fuzzy group and its homomorphic image, Fuzzy Systems and Math., 14(1), 45–50.
  9. Ying, M.-S. (1997) A New Approach For Fuzzy Topology (I) Fuzzy Sets and Systems, 39, 303–321.
  10. Yuan, X.-H., Zhang, C., & Ren, Y.-H. (2003) Generalized fuzzy groups and many-valued implications, Fuzzy Sets and System, 138, 205–211.
  11. Zadeh, L. A. (1965) Fuzzy Sets, Information Control, 8, 338–353.
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